Lesson Lesson 5-35-3

Geometry Geometry in in

MotionMotion

Ohio Content Standards:

Ohio Content Standards:

Describe and apply the properties of similar and

congruent figures; and justify conjectures involving

similarity and congruence.

Ohio Content Standards:

Make and test conjectures about characteristics and properties (e.g., sides, angles, symmetry) of two-dimensional figures and

three-dimensional objects.

Ohio Content Standards:

Draw and construct representations of two- and

three-dimensional geometric objects using a variety of

tools, such as straightedge, compass and technology.

Ohio Content Standards:

Perform reflections and rotations using compass and straightedge constructions

and dynamic geometry software.

Ohio Content Standards:

Represent and model transformations in a

coordinate plane and describe the results.

Ohio Content Standards:

Draw the results of translations, reflections, rotations and dilations of objects in the

coordinate plane, and determine properties that remain fixed;

e.g., lengths of sides remain the same under translations.

Ohio Content Standards:

Show and describe the results of combinations of translations,

reflections and rotations (compositions); e.g., perform

compositions and specify the result of a composition as the outcome of a

single motion, when applicable.

Translation

Translation

When a figure is slid from one position to another

without turning it.

Translation

When a figure is slid from one position to another

without turning it.

Translations are sometimes called “slidesslides””.

Reflection

Reflection

When a figure is flipped over a line. The new figure is the

mirror image of the original.

ReflectionWhen a figure is flipped over a

line. The new figure is the mirror image of the original.

Reflections are sometimes called ““flipsflips””.

Rotation

Rotation

When a figure is turned around a fixed point.

Rotation

When a figure is turned around a fixed point.

Rotations are sometimes called ““turnsturns””.

Identify each motion Identify each motion as a translation, as a translation,

reflection, or rotation.reflection, or rotation.

Identify each motion Identify each motion as a translation, as a translation,

reflection, or rotation.reflection, or rotation.

Identify each motion Identify each motion as a translation, as a translation,

reflection, or rotation.reflection, or rotation.

Identify each motion Identify each motion as a translation, as a translation,

reflection, or rotation.reflection, or rotation.

In the figure, In the figure, FGHFGH ONPONP by a by a

rotation.rotation.

In the figure, In the figure, FGHFGH ONPONP by a by a

rotation.rotation.

Name the image of H.

In the figure, In the figure, FGHFGH ONPONP by a by a

rotation.rotation.

Name the side that

corresponds to OP.

OP

.

OP

.

Assignment:Assignment:

Pgs. 201-202 Pgs. 201-202 9-24 all, 9-24 all, 28-33 all28-33 all